यदि \(R=\varnothing\) और \(S=\{5,10\}\) हैं, तो \(R\times S\) क्या होगा?
If \(R=\varnothing\) and \(S=\{5,10\}\), what is \(R\times S\)?
Explanation opens after your attempt
Correct Answer
A. \(\varnothing\)
Concept
There is no element in (R) for the first component, so no pair is formed. Cartesian product with an empty set is empty.
Why this answer is correct
The correct answer is A. \(\varnothing\). There is no element in (R) for the first component, so no pair is formed. Cartesian product with an empty set is empty.
Exam Tip
पहले घटक के लिए (R) में कोई तत्व नहीं है, इसलिए कोई युग्म नहीं बनेगा। खाली समुच्चय के साथ कार्तीय गुणन खाली होता है।
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